Dual to Ratio Estimators of Population Mean in Post-Stratified Sampling using Known Value of Some Population Parameters

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Dr. Onyeka
Dr. Onyeka
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α Federal University of Technology Owerri

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Dual to Ratio Estimators of Population Mean in Post-Stratified Sampling using Known Value of Some Population Parameters

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Abstract

This paper extends the work carried out by Onyeka (2012), by proposing a class of dual to ratio combined estimators of the population mean in post-stratified sampling when using known value of some population parameters. The proposed estimators, under certain conditions, are shown to be more efficient than some existing estimators, including the usual poststratified estimator and the estimators proposed by Onyeka (2012). Properties of the proposed class of estimators, including conditions for optimal efficiency, are obtained up to first order approximation. The results are illustrated using empirical data.

References

15 Cites in Article
  1. Nursel Koyuncu,Cem Kadilar (2009). Ratio and product estimators in stratified random sampling.
  2. A Onyeka (2012). Estimation of population mean in poststratified sampling using known value of some population parameter(s).
  3. B Pandy,Dubey,Vyas (1988). Modified product estimator using coefficient of variation of auxiliary variate.
  4. D Searls (1964). The utilization of known coefficient of variation in the estimation procedure.
  5. B Sharma,R Tailor (2010). A New Ratio-Cum-Dual to Ratio Estimator of Finite Population Mean in Simple Random Sampling.
  6. G Singh (2003). On the improvement of product method of estimation in sample surveys.
  7. H Singh,M Kakran (1993). A Modified Ratio Estimator Using Known Coefficients of Kurtosis of an Auxiliary Character.
  8. H Singh,R Tailor (2003). Use of known correlation coefficient in estimating the finite population mean.
  9. H Singh,R Tailor (2005). Estimation of finite population mean using known correlation coefficient between auxiliary characters.
  10. J Singh,B Pandey,K Hirano (1973). On the utilization of a known coefficient of kurtosis in the estimation procedure of variance.
  11. B Sisodia,V Dwivedi (1981). A Modified Ratio Estimator Using Coefficient of Variation of Auxiliary Variable.
  12. T Srivenkataramana (1980). A dual of ratio estimator in sample surveys.
  13. T Srivenkataramana,K Srinath (1976). Ratio and Product methods of estimation in sample surveys when the two variables are moderately correlated.
  14. Rajesh Tailor,Balkishan Sharma (2009). A MODIFIED RATIO-CUM-PRODUCT ESTIMATOR OF FINITE POPULATION MEAN USING KNOWN COEFFICIENT OF VARIATION AND COEFFICIENT OF KURTOSIS.
  15. Lakshmi Upadhyaya,Housila Singh (1999). Use of Transformed Auxiliary Variable in Estimating the Finite Population Mean.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Dr. Onyeka. 2013. \u201cDual to Ratio Estimators of Population Mean in Post-Stratified Sampling using Known Value of Some Population Parameters\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F2): .

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Issue Cover
GJSFR Volume 13 Issue F2
Pg. 13- 23
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

April 10, 2013

Language
en
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This paper extends the work carried out by Onyeka (2012), by proposing a class of dual to ratio combined estimators of the population mean in post-stratified sampling when using known value of some population parameters. The proposed estimators, under certain conditions, are shown to be more efficient than some existing estimators, including the usual poststratified estimator and the estimators proposed by Onyeka (2012). Properties of the proposed class of estimators, including conditions for optimal efficiency, are obtained up to first order approximation. The results are illustrated using empirical data.

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Dual to Ratio Estimators of Population Mean in Post-Stratified Sampling using Known Value of Some Population Parameters

Dr. Onyeka
Dr. Onyeka Federal University of Technology Owerri
A.C.
A.C.

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